The equation of the line is 2x + 7y = 17 that passing through the points (5,1) and (-2,3) option (d) is correct.
What is a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a line that passing through the points (5,1) and (-2,3).
The equation of line can be modelled as:
(y - 3) = [(3-1)/(-2-5)](x + 2)
(y - 3) = [-2/7](x + 2)
7y - 21 = -2x -4
2x + 7y = 17
Thus, the equation of the line is 2x + 7y = 17 that passing through the points (5,1) and (-2,3) option (d) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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